Properties of finite dual fusion frames

DOI10.1016/j.laa.2014.04.008zbMath1319.42027arXiv1509.07724OpenAlexW2141676374MaRDI QIDQ2350297

Patricia Mariela Morillas, Sigrid B. Heineken

Publication date: 19 June 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07724

zbMATH Keywords

framesfusion frameserasuresg-framesdual fusion framesoptimal dual fusion framesprojective reconstruction systems

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General harmonic expansions, frames (42C15)

Related Items (11)

Representation of operators using fusion frames ⋮ Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks ⋮ On the relation of the frame-related operators of fusion frame systems ⋮ Fusion frames for operators in Hilbert \(C^\ast\)-modules ⋮ Dual fusion frames ⋮ Some properties of alternate duals and approximate alternate duals of fusion frames ⋮ Weaving Hilbert space fusion frames ⋮ Characterization and construction of \(K\)-fusion frames and their duals in Hilbert spaces ⋮ Oblique Dual Fusion Frames ⋮ The invertibility of \(U\)-fusion cross Gram matrices of operators ⋮ Relay fusion frames for Hilbert spaces

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• An introduction to frames and Riesz bases

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